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Finding the Fourth Proportional to 204,334.38, 281,982.84 and 113,694.17

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Solution

The fourth proportional to 204,334.38, 281,982.84 and 113,694.17 is: 156,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,334.38 : 281,982.84 = 113,694.17 : x
  2. Step 2: Convert to fraction form
    204,334.38/281,982.84 = 113,694.17/x
  3. Step 3: Cross multiply
    204,334.38x = 281,982.84 × 113,694.17
  4. Step 4: Simplify right side
    204,334.38x = 32,059,803,538.13
  5. Step 5: Solve for x
    x = 32,059,803,538.13/204,334.38
  6. Step 6: Final answer
    x = 156,898.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.